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Simplifying 2z + -5(z + 1) = 1 Reorder the terms: 2z + -5(1 + z) = 1 2z + (1 * -5 + z * -5) = 1 2z + (-5 + -5z) = 1 Reorder the terms: -5 + 2z + -5z = 1 Combine like terms: 2z + -5z = -3z -5 + -3z = 1 Solving -5 + -3z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3z = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -3z = 1 + 5 -3z = 1 + 5 Combine like terms: 1 + 5 = 6 -3z = 6 Divide each side by '-3'. z = -2 Simplifying z = -2
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